We analyze the rheological response, i.e., fabric and contact force evolution, of dense granular materials from a complex networks perspective. The strain evolution of three classes of subnetworks, i.e., k-cores, minimal cycles and force chain networks, elucidates the breakdown of functional connectivity and structure in the lead up to and during failure. Feature vectors and dynamics occurring in such networks in three different biaxially compressed two-dimensional samples reveal some common aspects which are suggestive of an intrinsic structural hierarchy in granular networks – while differences shed light on the influence of confining pressure and interparticle rolling resistance on the evolution of these networks both at the mesoscopic as well as macroscopic levels.
Nous analysons la réponse constitutive de matériaux granulaires denses, au travers de l'évolution des forces de contact et de la texture, dans le cadre des réseaux complexes. L'évolution des déformations de trois classes de sous-réseaux, comprenant les cycles minimaux et les chaines de force, permet d'éclairer la disparition de connectivité fonctionnelle et de structure au cours du processus de rupture. L'analyse des processus dynamiques associés à de tels réseaux, au sein d'échantillons comprimés de manière biaxiale, révèle des aspects communs qui suggèrent l'existence d'une hiérarchie structurelle intrinsèque. En outre, l'influence de la pression de confinement et de la résistance au roulement inter-particulaire sur l'évolution de tels réseaux apparaît clairement aux échelles mésoscopique et macroscopique.
Mots-clés : Rhéologie, Matériaux granulaires
Antoinette Tordesillas 1; Patrick O'Sullivan 1; David M. Walker 1; Paramitha 1
@article{CRMECA_2010__338_10-11_556_0, author = {Antoinette Tordesillas and Patrick O'Sullivan and David M. Walker and Paramitha}, title = {Evolution of functional connectivity in contact and force chain networks: {Feature} vectors, \protect\emph{k}-cores and minimal cycles}, journal = {Comptes Rendus. M\'ecanique}, pages = {556--569}, publisher = {Elsevier}, volume = {338}, number = {10-11}, year = {2010}, doi = {10.1016/j.crme.2010.09.004}, language = {en}, }
TY - JOUR AU - Antoinette Tordesillas AU - Patrick O'Sullivan AU - David M. Walker AU - Paramitha TI - Evolution of functional connectivity in contact and force chain networks: Feature vectors, k-cores and minimal cycles JO - Comptes Rendus. Mécanique PY - 2010 SP - 556 EP - 569 VL - 338 IS - 10-11 PB - Elsevier DO - 10.1016/j.crme.2010.09.004 LA - en ID - CRMECA_2010__338_10-11_556_0 ER -
%0 Journal Article %A Antoinette Tordesillas %A Patrick O'Sullivan %A David M. Walker %A Paramitha %T Evolution of functional connectivity in contact and force chain networks: Feature vectors, k-cores and minimal cycles %J Comptes Rendus. Mécanique %D 2010 %P 556-569 %V 338 %N 10-11 %I Elsevier %R 10.1016/j.crme.2010.09.004 %G en %F CRMECA_2010__338_10-11_556_0
Antoinette Tordesillas; Patrick O'Sullivan; David M. Walker; Paramitha. Evolution of functional connectivity in contact and force chain networks: Feature vectors, k-cores and minimal cycles. Comptes Rendus. Mécanique, Micromechanics of granular materials, Volume 338 (2010) no. 10-11, pp. 556-569. doi : 10.1016/j.crme.2010.09.004. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2010.09.004/
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